Other works have considered the Casimir plates immersed in stationary
axisymetric spacetime, with the assumption of the apparatus is very small
compared with typical scale on which the metric varies. In this case, the
Casimir effect does not break the equivalence principle [1]}, [2]}. The influence of the gravity in the Casimir energy in such scenario was
studied for some specific geometries. For example, the Kerr spacetime in
[3]}, which study the corrections of the Casimir energy due to the
influence of a rotating gravitational source, for a Casimir apparatus
describing a circular equatorial orbit. In the aforementioned work, the plates
of the apparatus are oriented parallel to the radial coordinate of the
gravitational source. The extension for a general stationary spacetime was
presented in [4]}.
